Question 1 Explain how your algorithm is able to guarantee that no assignment will exhibit the second type of instability described in the prompt. Make sure your algorithm terminates in O(mn) time. 1 point

Acommon algorithm for converting a decimal number to binary is to repeatedly divide the decimal number by 2 and save the remainder. this division is continued until the result is zero. then, each of the remainders that have been saved are used to construct the binary number.write a recursive java method that implements this algorithm.it will accept a value of int and return a string with the appropriate binary character representation of the decimal number.my code: public class lab16{public string converttobinary(int input){int a; if(input > 0){a = input % 2; return (converttobinary(input / 2) + "" +a); } return ""; } }